See, your attachment of 'in the supernatural sense' makes it impossible for me to take that poll. I believe there could be a scientific basis for limited feats of extra-sensory perception / telepathy / precognition, but to assume that possibility requires the 'supernatural' and wouldn't just be an as of yet misunderstood aspect of nature is what attaches such a stigma to researching these phenomenon.
I don't believe in 'psychics' in the traditional sense by any stretch, but it's understood the earths electromagnetic field is passing through us all every moment of every day, and that the machinations of the brain are largely electric. Studies have been run which suggest when two people are isolated from the earths electromagnetic field and 'hooked up' to an artificial field, limited 'shared sensations' may be experienced, such as an idle test-subjects brain reacting to their partnering test-subject being abruptly flashed with an over-bright light. I can't say I 'believe' this is true, but I'm not opposed to the idea that the electromagnetic field of the earth could perhaps carry brain activity away from us like wind can carry scents/plant particles/ect., and that some folks might be more sensitive to such things. It's unlikely, and a massive majority of people who claim psychic ability are almost certainly BS'ing, but it still seems worth researching.
As for precognition, there's been a neat study conducted (though it's endured some criticism) which shows volunteers a random series of more or less plain images, with the occasional piece of hardcore pornography randomly spliced in. The test subjects look at the picture a few seconds, click it to go to the next, and then look at that picture a few seconds, ect. Ect. The study seemed to suggest that in many cases, the brain began responding to the pornographic images -before- they were displayed, many test subjects experiencing an anticipatory reaction to stimulus they'd not yet received.
As for life after death, a persons memories and personality do not survive the death of the brain. Say what you will about universal energy or the unencumbered soul, but I've seen/worked with enough people suffering from brain injuries to know that damage to the brain alone can often completely erase or rewrite a persons memories/personality. Death of the brain is the end of any personal existence. If something within you goes on elsewhere in spite of that, which I highly doubt to the point of dismissing, it's most definitely not your personal consciousness. That's far too demonstrably vulnerable for anyone to argue otherwise.